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A Two-Way ANOVA Summary Table Is Shown Below The Critical Value for The

Question 54

Multiple Choice

A Two-Way ANOVA Summary Table is shown below.
 Source  SS  d.f.  MS  F  Factor A 13.1626.583.87 Factor B 6.9423.472.04 Interaction A × B 30.4047.604.47 Within (error)  76.50451.7 Total 126.9953\begin{array}{lrrrc}\text { Source } & {\text { SS }} & \text { d.f. } & \text { MS } & \text { F } \\\text { Factor A } & 13.16 & 2 & 6.58 & 3.87 \\\text { Factor B } & 6.94 & 2 & 3.47 & 2.04 \\\text { Interaction A } \times \text { B } & 30.40 & 4 & 7.60 & 4.47 \\\text { Within (error) } & 76.50 & 45 & 1.7 & \\\text { Total } & 126.99 & 53 & &\end{array}

The critical value for the FF -test using α=0.05\alpha = 0.05 , d.f.N. =2= 2 , and d.f.D =45= 45 is 3.203.20 . Then,


A) all of the null hypotheses should be accepted.
B) the null hypothesis concerning Factor A should be rejected.
C) the null hypothesis concerning Factor B should be rejected.
D) the null hypothesis concerning Factor A and the Interaction (A × B) effect should be rejected.

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